Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 165441: The side of a large tent is in the shape of an isosceles triangle whose area is 54ft^2 and whose base is 6ft shorter than twice its height. Find the height and the base of the side of the tent.
Click here to see answer by alicealc(281)

Question 165557: Hi, if x>2, then ((x^2)-x-6)/(x^2)-4=
...I have gotten (x-3)(x+2)/(x+2)(x-2)... So see about this...
Thankyou
Click here to see answer by vleith(2825)

Question 165620: how do you find the zeros of g(x)=x^3+3x^2-4x-12
Click here to see answer by oscargut(891)

Question 165601: Given 5x^4-3x^3+ax^2+bx-7 determine a and b so i is a zero of the quartic (Hint:Use synthetic or long division). Please help me, I just can't find the answer!!!
Click here to see answer by ankor@dixie-net.com(15649)

Question 165592: hi, If 3x^2-2x+7=0, then (x-1/3)^2=
Thankyou
Click here to see answer by jim_thompson5910(28593)

Question 165633: the sum of the reciprocals of two consecutive integers is 11/30. find the two integers.
Click here to see answer by stanbon(57327)

Question 165608: could you please help me figure the anser to this division problem.
x^5+0x^4+0x^3+0x^2-61x-60 divided by x^2-2x-3
Click here to see answer by stanbon(57327)

Question 165640: solve each of the equation. indicate the LCD
-1/x-5=x-6/x-5
Click here to see answer by stanbon(57327)

Question 165640: solve each of the equation. indicate the LCD
-1/x-5=x-6/x-5
Click here to see answer by jim_thompson5910(28593)

Question 165723: Factor completely. If the polynomial is prime, state this.
-3b-88+b^2
Click here to see answer by jim_thompson5910(28593)

Question 165722: a^2-36
_______
a^2+9a+18 Please Simplify, if possible.
Click here to see answer by ankor@dixie-net.com(15649)

Question 165726: Word Problem: You are traveling to your aunt's house that is 192 miles away. If you are currently twice as far from home as you are from your aunt's, how far have you traveled?
Click here to see answer by checkley77(12569)

Question 165783: For the polynomial f(x)-4-2x^2+3x^4
a) Classify f(x) as constant, linear, quadratic, cubic, or quartic

b) find the leading term

c) find the leading coefficient

d) find the degree of the polynomial

Click here to see answer by vleith(2825)

Question 165832: how to solve factoring trinomials?
Click here to see answer by Alan3354(30993)

Question 165842: How many grams of sugar must be added to 60 grams of a solution that is 32% sugar to obtain a solution that is 50% sugar?
Click here to see answer by checkley77(12569)

Question 165880: can someone please help;
Suppose that the population of a certain city during a certain time period can be approximated by:
P(x) -0.1x^5 + 3.2x^4 + 5000
where x is time in years since 1960. Find P(13).
a. 58,366
b. 59,266
c. 62,066
d. 63,766
Click here to see answer by tutorcecilia(2152)

Question 165958: What kind of function is f(x) = 3x3 - 5x2 + 12

Click here to see answer by oscargut(891)

Question 165924: x,y,z are real number. if xyz=78 and x^2+y^2+z^2=206, determine x+y+z
Click here to see answer by ankor@dixie-net.com(15649)

Question 165975: Evaluate the given polynomial. Show the steps.

f(x)=-x^2-4x Find f(-2)
Click here to see answer by Mathtut(3670)

Question 165981: Solve 20/2X+3 = 17X/2x+3 -5
How I solve?
Here is what I have
My LCM is 2x+3.
That's all I know.
Question from my text book.

Click here to see answer by jim_thompson5910(28593)

Question 165976: Evaluate -x^2-4xy^2 when x=-6.113 and y=-1.104 using the TI (Round to the nearest hundredth)
Click here to see answer by MRperkins(300)

Question 166020: Physics: a high-speed centrifuge makes 4x10(8th power) revolutions each minute. Find the time in seconds for the centrifuge to make one revolution?
Click here to see answer by vleith(2825)

Question 166019: Astronomy: it took 11 minutes fro a command from a computer on earth to travel to the rover Sojourner on Mars, a distance of 119 million miles. How fast did the signals from earth to Mars travel?
Click here to see answer by vleith(2825)

Question 166053: Factoring Trinomials by Grouping:
what is the answer for
4c^2+23c-6
Click here to see answer by MRperkins(300)

Question 166084: Please help me solve this equation! List the rational roots and determine them:
Click here to see answer by jim_thompson5910(28593)

Question 166103: x^2+5x+6/x+3
Click here to see answer by stanbon(57327)

Question 166069: I need one more thing...
Factoring Trinomials by Grouping
I am stuck on
2u^2+9u+4
Click here to see answer by checkley77(12569)

Question 166139: I could use some help with factoring this polynomial,
1/9x^2+2/3x-63
I hope someone can help Thank-You
Click here to see answer by jim_thompson5910(28593)

Question 166027: can someone help me with this problem:
Write a cost function for the problem. Assume that the relationship is linear.
Marginal cost, $40; 70 items cost $3800 to produce
a. C(x) = 14x + 3800
b. C(x) = 40x + 1000
c. C(x) = 40x + 3800
d. C(x) = 14x + 1000
Click here to see answer by sata001(4)

Question 166175: PLEASE HELP!!!
Solve -x^4+200=102x^2.
I have to show my work and I don't understand how to do this. It is from a worksheet.
Thanks
Click here to see answer by Fombitz(13828)

Question 166184: Find a equation of the line having the specified slope and containing the indicated point. Write answer in slope-intercept form.
m = -4; (5,6)
Click here to see answer by Mathtut(3670)

Question 166188: Factor by grouping, if possible
2x^3 + 12x^2 - 3x -18
Click here to see answer by vleith(2825)

Question 166174: I have two questions.
1. Identify the vertex, axis of symmetry, and direction of opening for y=2(x+3)^2-5
On this I know that the direction of opening is up. That's all I know though. Please help!!!
2. Write y=-4x^2+8x-1 in vertex form.
PLEASE HELP!!!
I must show my work and I am lost on how to do these. We have no text book to help us. This is from a worksheet.
Thanks
Click here to see answer by vleith(2825)

Question 166197: (1/2x^3)^5(x^2)^3
I have worked on this and not sure if the answer I have is right....
(1/32x^15)(x^6)=1/32x^21
Click here to see answer by Fombitz(13828)

Question 166017: Physics: The mass of an electron is 9.109x10(-31power)kg. The mass of a proton is 1.673x10(-27power)kg. Hwo many times heavier is a proton than a electron.
Click here to see answer by ankor@dixie-net.com(15649)

Question 166018: Physics: How many meters does light travel 8 hours? The speed of light is 3x10(8th power)m/s?
Click here to see answer by ankor@dixie-net.com(15649)

Question 166270: I have been working on this math problem and I can't figure it out. I was wondering if someone could help me? Please and Thank You!!! I would deeply appreciate it!!
Factoring Quadratic Polynomials
Factor completely. If the polynomial is prime, say so.
x^6-64y^6
Click here to see answer by jim_thompson5910(28593)

Question 166282: i am dividing polynomials on glencoe algebra 2.
skills practice. 5-3
(2s squared +13s squared +15) \(divided by) (s+5)

***if you do know where to find answers according so the problem then please tell me if you know.
Click here to see answer by jim_thompson5910(28593)

Question 166303: 2x^4-6x^3+x^2-3x-3/x-3
Click here to see answer by Fombitz(13828)

Question 166349: I need to know if I can further factor this expression of
27x^3y^3-125 (3xy-5) (9x^2y^2-15xy+25) can you advise me?
Click here to see answer by jim_thompson5910(28593)

Question 166364: Perform the indicated operations.
(9x^4 + 3xy - y^3) - (x^4 + 7xy + 3y^3)
o 9x^4 - 4xy - 4y^3
o 10x^4 + 12xy + 2y^3
o 8x^4 - 4xy - 4y^3
o 8x^4 - 4xy - 2y^3
Click here to see answer by jim_thompson5910(28593)

Question 166368: Find the product.
(10 + 7x)^2
o 100 + 140x + 49x^2
o 100 + 49x^2
o 100 + 140x + 7x^2
o 100x^2 + 140x + 49
Click here to see answer by jim_thompson5910(28593)

Question 166380: Factor the polynomial completeley: Please help me. Appreciate it.
6x^2y^2 +12xy^2 +12y^2

Click here to see answer by oscargut(891)

Question 166401: Please help me with the following question:
Use synthetic division to find the quotient and remainder of the following: (4x^3-6x+5) divided by (x-3)
Click here to see answer by oscargut(891)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835